Alexander Burgess, 32, and Claire Gordon, 29, both of Kintillo Drive, were sentenced at the city's sheriff court on Wednesday, July 16.
Burgess and Gordon both pled guilty to failing to provide necessary veterinary attention for their 14 year old Staffordshire bull terrier named Ace, contrary to the Animal Health and Welfare (Scotland) Act 2006.
Burgess was given a five year ban on keeping animals and a 135 hour community payback order, while Gordon was admonished and given a five year ban on keeping animals.
Commenting on the investigation and court case, Inspector Jennifer Connolly said, "Ace's testicles had swollen to such an extent that they touched the ground when he stood.
"He was crying out in pain and having huge difficulty walking and sitting.
"The vet stated that Ace's testicles were swollen to approximately 50 times their normal size and the skin covering them was infected and causing him a great deal of pain and discomfort.
"Sadly, Ace's condition was so advanced that surgery was no longer an option and the vet could only end his suffering by putting him to sleep.
"Ace was left without any veterinary care or treatment for a year and nine months, which is completely unacceptable and we therefore welcome the ban given to Burgess and Gordon.
"We hope both Burgess and Gordon will consider their suitability to care for any other animals in the future."